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Solve the quadratic equation (x^2)-x-12=0 (easy), (x^2)-9=0 (special case), (x^2)+5x-13=0 (quadratic formula)

For each of the above the methodology is fairly similar, first try and do it just by looking at it then try the quadratic formula if that doesn't work. At GCSE level I don't think there's any need to worry a...
JE
Answered by Jack E. • Maths tutor
3477 Views

Maths A Level: "Sketch the curve of the function f(x) = 2x^3 - 2x - 12 and show that the equation f(x)=0 has one root; calculate the root."

Consider the curve y = 2x^3 - 2x - 12.1) y-intercept. When x=0, y= -12 3) when x tends to infinity...y tends to infinity and when x tends to negative infinity...y tends to negative infinity 4) stationary poi...
JI
Answered by Joseph I. • Maths tutor
3327 Views

Prove that the square of an odd number is always 1 more than a multiple of 4

(2x-1) 2 = 4x 2 - 4x + 1= 4(x 2 -x)+1The part of the expression which is: 4(x 2 -x) indicates that the value is a multiple of 4. The number 1 is then added which means that the statement 'the square of an od...
GP
Answered by Gokul P. • Maths tutor
3684 Views

4y^2 = 256, Find a value for y

y^2 = 256/4 = 64 therefore, y = sqrt(64) = 8
KP
Answered by Kai P. • Maths tutor
3712 Views

Solve the simultaneous equations: 2x + y = 12; x - y = 6

We add the two equations together (left-hand sides and right-hand sides separately). By doing this we get: 2x + y + (x - y) = 12 + 6. By rearranging and simplifying: 3x = 18.If we divide both sides by 3 we g...
RD
Answered by Rebeka D. • Maths tutor
6941 Views